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Finding the Fourth Proportional to 272,458.94, 408,667.68 and 120,703.01

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Solution

The fourth proportional to 272,458.94, 408,667.68 and 120,703.01 is: 181,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,458.94 : 408,667.68 = 120,703.01 : x
  2. Step 2: Convert to fraction form
    272,458.94/408,667.68 = 120,703.01/x
  3. Step 3: Cross multiply
    272,458.94x = 408,667.68 × 120,703.01
  4. Step 4: Simplify right side
    272,458.94x = 49,327,417,022.38
  5. Step 5: Solve for x
    x = 49,327,417,022.38/272,458.94
  6. Step 6: Final answer
    x = 181,045.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.